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Finding the Fourth Proportional to 102,886.71, 154,336 and 39,707.16

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Solution

The fourth proportional to 102,886.71, 154,336 and 39,707.16 is: 59,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,886.71 : 154,336 = 39,707.16 : x
  2. Step 2: Convert to fraction form
    102,886.71/154,336 = 39,707.16/x
  3. Step 3: Cross multiply
    102,886.71x = 154,336 × 39,707.16
  4. Step 4: Simplify right side
    102,886.71x = 6,128,243,474.08
  5. Step 5: Solve for x
    x = 6,128,243,474.08/102,886.71
  6. Step 6: Final answer
    x = 59,563.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.